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100303132332 = 223131921979041
BaseRepresentation
bin101110101101010001…
…0000101011010101100
3100120220022001001122010
41131122202011122230
53120410100213312
6114024552121220
710150414362144
oct1353242053254
9316808031563
10100303132332
11395a1559997
1217533396210
1395c65661a0
144bd740b924
152920b6693c
hex175a8856ac

100303132332 has 144 divisors (see below), whose sum is σ = 267387275232. Its totient is φ = 29086525440.

The previous prime is 100303132327. The next prime is 100303132333. The reversal of 100303132332 is 233231303001.

It is a super-2 number, since 2×1003031323322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100303132299 and 100303132308.

It is not an unprimeable number, because it can be changed into a prime (100303132333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11089732 + ... + 11098772.

It is an arithmetic number, because the mean of its divisors is an integer number (1856856078).

Almost surely, 2100303132332 is an apocalyptic number.

100303132332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100303132332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133693637616).

100303132332 is an abundant number, since it is smaller than the sum of its proper divisors (167084142900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100303132332 is a wasteful number, since it uses less digits than its factorization.

100303132332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9296 (or 9275 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 100303132332 its reverse (233231303001), we get a palindrome (333534435333).

The spelling of 100303132332 in words is "one hundred billion, three hundred three million, one hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 197 228 247 361 394 494 591 722 741 788 988 1083 1182 1444 1482 2166 2364 2561 2964 3743 4332 4693 5122 7486 7683 9041 9386 10244 11229 14079 14972 15366 18082 18772 22458 27123 28158 30732 36164 44916 48659 54246 56316 71117 97318 108492 117533 142234 145977 171779 194636 213351 235066 284468 291954 343558 352599 426702 470132 515337 583908 687116 705198 853404 924521 1030674 1410396 1781077 1849042 2061348 2233127 2773563 3263801 3562154 3698084 4466254 5343231 5547126 6527602 6699381 7124308 8932508 9791403 10686462 11094252 13055204 13398762 19582806 21372924 23154001 26797524 33840463 39165612 42429413 46308002 67680926 69462003 84858826 92616004 101521389 127288239 135361852 138924006 169717652 203042778 254576478 277848012 406085556 439926019 509152956 642968797 879852038 1285937594 1319778057 1759704076 1928906391 2571875188 2639556114 3857812782 5279112228 7715625564 8358594361 16717188722 25075783083 33434377444 50151566166 100303132332